Pith Number

pith:CDWT6SCB

pith:2011:CDWT6SCB6QZMBNPPQLGZINEZ52

not attested not anchored not stored refs pending

Essential self-adjointness, generalized eigenforms, and spectra for the $\bar\partial$-Neumann problem on $G$-manifolds

Joe J. Perez, Peter Stollmann

arxiv:1101.1863 v1 · 2011-01-10 · math.SP · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDWT6SCB6QZMBNPPQLGZINEZ52}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:14:45.054974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ed3f4841f432c0b5ef82cd943499eeaebaf1bbb12a30e1d9bf0975fbd36c10

Aliases

arxiv: 1101.1863 · arxiv_version: 1101.1863v1 · doi: 10.48550/arxiv.1101.1863 · pith_short_12: CDWT6SCB6QZM · pith_short_16: CDWT6SCB6QZMBNPP · pith_short_8: CDWT6SCB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDWT6SCB6QZMBNPPQLGZINEZ52 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 10ed3f4841f432c0b5ef82cd943499eeaebaf1bbb12a30e1d9bf0975fbd36c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427c05130f428db6978e87734d9681eccd461681e53b6665b891f0a115f840fd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-10T16:11:13Z",
    "title_canon_sha256": "d910c3441c0dada5189a4b325a8b10ec4e595849c19b5a79798595d537511b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1863",
    "kind": "arxiv",
    "version": 1
  }
}